1255206960 has 240 divisors, whose sum is σ = 4840642560. Its totient is φ = 285534720.

The previous prime is 1255206947. The next prime is 1255206977. The reversal of 1255206960 is 696025521.

1255206960 is a `hidden beast` number, since 12 + 5 + 520 + 69 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1365381 + ... + 1366299.

It is an arithmetic number, because the mean of its divisors is an integer number (20169344).

It is a vampire number, since it can be written as 22056 ⋅ 56910 (with its own digits).

Almost surely, 2^1255206960 is an apocalyptic number.

1255206960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1255206960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2420321280).

1255206960 is an abundant number, since it is smaller than the sum of its proper divisors (3585435600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1255206960 is a wasteful number, since it uses less digits than its factorization.

1255206960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 1255206960 is about 35428.9000676002. The cubic root of 1255206960 is about 1078.7110136396.

The spelling of 1255206960 in words is "one billion, two hundred fifty-five million, two hundred six thousand, nine hundred sixty".